What are the solutions to the inequality (x-3)(x+5)<_0 ?

An equation in standard form for the hyperbola that satisfies the given conditions is \(\frac{y^{2} }{187} -\frac{x^{2} }{9} =1\)

The given conditions: Foci: (0, 14), (0,-14),

The transverse axis length is 6.

Here the foci are on the y-axis

Therefore, the equation of the hyperbola is of the form \(\frac{y^{2} }{a^{2}} -\frac{x^{2} }{b^{2}} =1\)

Since the foci are (0, 14) and (0, -14)

ae = c= 14

Since the length of the conjugate axis is 6

2b=6

b = 3

We know that

\(a^{2}+b^{2} = c^{2}\)

\(a^{2}+3^{2}= 14^{2}\)

\(a^{2} = 196-9\)

\(= 187\)

Thus the equation of the hyperbola is \(\frac{y^{2} }{187} -\frac{x^{2} }{9} =1\).

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Answer:

2+|3x|=2+3

in(x)+2=5

x-4>7

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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The graph of the arithmetic sequence is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

Answer:

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

15:8 i belive if not then its 8:15 but i think its a

The equation that will calculate the number of days after which there will be 256 bacterial cells in the dish is 2^(d/2) = 256

The given parameters are:

Rate, r = doubles every two days

Initial number of strain, a = 1

This means that the function is an exponential function.

An exponential function is represented as:

A(d) = a * r^d

Since the strain doubles every two days, we have:

A(d) = a * r^(d/2)

Substitute the known values in the above equation

A(d) = 1 * 2^(d/2)

Evaluate the product

A(d) = 2^(d/2)

When there are 256 bacterial cells, the equation becomes

2^(d/2) = 256

Hence, the equation that will calculate the number of days after which there will be 256 bacterial cells in the dish is 2^(d/2) = 256

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Answer: look at the picture and I can’t solve y for you.

Step-by-step explanation: Hope this help :D

The sequence of transformations that maps triangle ABC to A”B”C” is 1. Rotation along the x-axis and then dilation by a scale factor of 9/2.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the centre of dilation are used to determine the dilation transformation.

The image stretches if the scaling factor is greater than 1.

The image contracts if the scale factor is between 0 and 1.

The original image and the resulting image are consistent if the scale factor is 1.

The coordinates of the point ABC are as follows:

A (-1, 1)

B (1, 1)

C (0, -1)

First the figure is rotated on the x-axis by using the transformation rule:

(x, y) → (x, -y) the coordinates are:

A (-1, 1) → A (-1, -1)

B (1, 1) → B (1, -1)

C (0, -1) → C (0, 1)

After rotation the figure is dilated by a scale factor.

The scale factor is given as:

SF = Length of segment of new image / length of segment of original image.

SF = 9/2

Hence, the sequence of transformations that maps triangle ABC to A”B”C” is 1. Rotation along the x-axis and then dilation by a scale factor of 9/2.

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Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

Answer:

A=372 units squared

Step-by-step explanation:

Answer:

area = 372 sq units

Step-by-step explanation:

A = 1/2h(sum of bases)

A = 1/2(24)(7+24)

A = 12(31)

A = 372

Here, we want to find the height of the baby Elephant two years ago.

Let the height of the baby Elephnat two years ago be x ft

The baby Elephant was 11 ft shortrer than the mother. This means that the height of the mother two years ago was (x + 11) ft

Presently, it grew 3 ft. Its height now will be (x + 3) ft

Also, the height of the mother is twice its size presently

This means;

2(x + 3) = x + 11

Let us open the brackets

2x + 6 = x + 11

2x - x = 11 -6

x = 5 ft

Two years ago, the baby Elephant was 5 ft in height

10.125

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

Plan A lasts for 2/7 hours or approximately 17.14 minutes, and Plan B lasts for 9/7 hours or approximately 1 hour and 17.14 minutes.

In algebra, the definition of an equation in its simplest form is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x 5 = 14 is an equation where 3x 5 and 14 are two expressions separated by an equal sign.

Let's say plan A takes x hours and plan B takes y hours.

Based on the given data, we can create two equations:

Monday: 6x + 5y = 7

Tuesday: 2x + 3y = 3

We can solve this system of equations by elimination or substitution.

Eliminating, we can multiply the second equation by two and subtract it from the first equation:

(6x + 5 y) - 2 (2x + 3y) = 7 - 2 (3)

Simplifying this, we get:

2x - y = 1

Using substitution, we can solve an equation in one variable and replace it with another equation:

From the first equation we can solve for x:  

6x + 5y = 7

6x = 7-5 years

x = (7-5 ​​years) / 6

Substituting this into the second equation, we get:

2 ((7-5 years) / 6) + 3 y = 3

Simplifying this, we get:

7 y = 9

y = 9/7

Now that we know y, we can substitute it back into both equations to solve for x:

6 x + 5 (9/7) = 7

Simplifying this, we get:

x = 2/7

Therefore, Plan A takes 2/7 hours, or approximately 17.14 minutes, and Plan B takes 9/7 hours, or approximately 1 hour and 17.14 minutes.

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Answer:

9/10 > 78/100

Step-by-step explanation:

We can make 9/10 into 90/100, and since they now have the same denominator (Bottom number in fraction), we can now compare the numerators (Top number in fraction). 90 is greater than 78 so we can say that 9/10 > 78/100 (9/10 is greater than 78/100).

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

208

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

\(m = \frac{y2 - y1}{x2 - x1} \)

Put all values.

\(2 = \frac{y - 2}{5 - 2} \)

Simplify it to get value of"y".

\(2 = \frac{y - 2}{3} \)

\(6 = y - 2\)

\(y = 6 + 2\)

Therefore, y= 8.

Hope it helps...

Answer:

a=-13/10

b=-5/2

Step-by-step explanation:

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

Answer:

2/9

Step-by-step explanation:

Call the unknown number n

Therefore, we can express your question in the following manner

8 * n = 4 * 9

n = 36/8

But we know that n is a reciprocal of a number, so we need to flip the numerator and denomiator in n

Answer: 8/36 = 2/9

Answer:

Step-by-step explanation:

To determine the surface area of a rectangular prism, we need the dimensions of the prism. Without the dimensions, I cannot provide a specific surface area.

However, I can explain the formula to calculate the surface area of a rectangular prism. The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h represent the length, width, and height of the rectangular prism, respectively.

Once you have the dimensions of the prism, you can substitute them into the formula and calculate the surface area.

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

Step-by-step explanation:

in such a case we first take the inner function (h(x)) and put it as "x" in the outer function (g(x)).

so,

g(h(x)) = sqrt(3×(3x + 5) - 4) = sqrt(9x + 15 - 4) =

= sqrt(9x + 11)